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Finding the Fourth Proportional to 8,431.98, 11,632.74 and 4,893.06

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Solution

The fourth proportional to 8,431.98, 11,632.74 and 4,893.06 is: 6,750.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.98 : 11,632.74 = 4,893.06 : x
  2. Step 2: Convert to fraction form
    8,431.98/11,632.74 = 4,893.06/x
  3. Step 3: Cross multiply
    8,431.98x = 11,632.74 × 4,893.06
  4. Step 4: Simplify right side
    8,431.98x = 56,919,694.78
  5. Step 5: Solve for x
    x = 56,919,694.78/8,431.98
  6. Step 6: Final answer
    x = 6,750.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.